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Finding the Fourth Proportional to 256,003.60, 384,005.40 and 214,531.60

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Solution

The fourth proportional to 256,003.60, 384,005.40 and 214,531.60 is: 321,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,003.60 : 384,005.40 = 214,531.60 : x
  2. Step 2: Convert to fraction form
    256,003.60/384,005.40 = 214,531.60/x
  3. Step 3: Cross multiply
    256,003.60x = 384,005.40 × 214,531.60
  4. Step 4: Simplify right side
    256,003.60x = 82,381,292,870.64
  5. Step 5: Solve for x
    x = 82,381,292,870.64/256,003.60
  6. Step 6: Final answer
    x = 321,797.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.